Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations

Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations

The Zakharov equations, which involve the interactions between Langmuir and ion acoustic waves in plasma, are analytically studied. By using the method of Exp-function, the periodic wave, bisoliton, Akhmediev breather, Ma breather, and Peregrine breather of the Zakharov equations are obtained. These...

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Main Authors: Heng Wang, Longwei Chen, Hongjiang Liu, Shuhua Zheng
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/310945
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spelling doaj-dfc913bb46ff4c36ab2761a84f18a33b2020-11-24T23:24:14ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/310945310945Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov EquationsHeng Wang0Longwei Chen1Hongjiang Liu2Shuhua Zheng3College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaCity and Environment College, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaThe Zakharov equations, which involve the interactions between Langmuir and ion acoustic waves in plasma, are analytically studied. By using the method of Exp-function, the periodic wave, bisoliton, Akhmediev breather, Ma breather, and Peregrine breather of the Zakharov equations are obtained. These results presented in this paper enrich the diversity of solution structures of the Zakharov equations. Furthermore, based on the numerical simulations of these solutions, some physics analysis of bisolitons and various breathers are given.http://dx.doi.org/10.1155/2015/310945
collection DOAJ
language English
format Article
sources DOAJ
author Heng Wang
Longwei Chen
Hongjiang Liu
Shuhua Zheng
spellingShingle Heng Wang
Longwei Chen
Hongjiang Liu
Shuhua Zheng
Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations
Mathematical Problems in Engineering
author_facet Heng Wang
Longwei Chen
Hongjiang Liu
Shuhua Zheng
author_sort Heng Wang
title Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations
title_short Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations
title_full Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations
title_fullStr Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations
title_full_unstemmed Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations
title_sort exact periodic wave, bisoliton, and various breather solutions for the zakharov equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description The Zakharov equations, which involve the interactions between Langmuir and ion acoustic waves in plasma, are analytically studied. By using the method of Exp-function, the periodic wave, bisoliton, Akhmediev breather, Ma breather, and Peregrine breather of the Zakharov equations are obtained. These results presented in this paper enrich the diversity of solution structures of the Zakharov equations. Furthermore, based on the numerical simulations of these solutions, some physics analysis of bisolitons and various breathers are given.
url http://dx.doi.org/10.1155/2015/310945
work_keys_str_mv AT hengwang exactperiodicwavebisolitonandvariousbreathersolutionsforthezakharovequations
AT longweichen exactperiodicwavebisolitonandvariousbreathersolutionsforthezakharovequations
AT hongjiangliu exactperiodicwavebisolitonandvariousbreathersolutionsforthezakharovequations
AT shuhuazheng exactperiodicwavebisolitonandvariousbreathersolutionsforthezakharovequations
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